What is the Least Common Multiple of 3444 and 3459?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 3444 and 3459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3444 and 3459, than apply into the LCM equation.

GCF(3444,3459) = 3
LCM(3444,3459) = ( 3444 × 3459) / 3
LCM(3444,3459) = 11912796 / 3
LCM(3444,3459) = 3970932

Least Common Multiple (LCM) of 3444 and 3459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3444 and 3459. First we will calculate the prime factors of 3444 and 3459.

Prime Factorization of 3444

Prime Factorization of 3459

Now multiplying the highest exponent prime factors to calculate the LCM of 3444 and 3459.

LCM(3444,3459) = 2² × 3¹ × 7¹ × 41¹ × 1153¹
LCM(3444,3459) = 3970932